Question
A trader wishes to gain 20% after allowing 10% discount on the marked price to his customers. At what percent higher than the cost price must he mark his goods ?
Answer: Option B
Let the cost price of goods = Rs. 100
Selling price of goods
= 120% of 100
= Rs. 120
Mark price of goods
$$\eqalign{
& {\text{ = 120}} \times \frac{{100}}{{90}} \cr
& = \frac{{400}}{3}{\text{ }} \cr} $$
Difference of Mark price and Cost price
$$\eqalign{
& {\text{ = }}\frac{{400}}{3} - 100 \cr
& {\text{Difference }}\% \cr
& = \frac{{\frac{{100}}{3}}}{{100}} \times 100 \cr
& = \frac{{100}}{3}\% \cr
& = 33\frac{1}{3}\% \cr} $$
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Let the cost price of goods = Rs. 100
Selling price of goods
= 120% of 100
= Rs. 120
Mark price of goods
$$\eqalign{
& {\text{ = 120}} \times \frac{{100}}{{90}} \cr
& = \frac{{400}}{3}{\text{ }} \cr} $$
Difference of Mark price and Cost price
$$\eqalign{
& {\text{ = }}\frac{{400}}{3} - 100 \cr
& {\text{Difference }}\% \cr
& = \frac{{\frac{{100}}{3}}}{{100}} \times 100 \cr
& = \frac{{100}}{3}\% \cr
& = 33\frac{1}{3}\% \cr} $$
Was this answer helpful ?
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